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Finding the Third Proportional to 698,682 and 1,497,060

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Solution

The third proportional to 698,682 and 1,497,060 is: 3,207,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,682 : 1,497,060 = 1,497,060 : x
  2. Step 2: Convert to fraction form
    698,682/1,497,060 = 1,497,060/x
  3. Step 3: Cross multiply
    698,682x = 1,497,060 × 1,497,060
  4. Step 4: Simplify right side
    698,682x = 2,241,188,643,600
  5. Step 5: Solve for x
    x = 2,241,188,643,600/698,682
  6. Step 6: Final answer
    x = 3,207,737.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.